Identifier
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00019: Binary trees —right rotate⟶ Binary trees
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00019: Binary trees —right rotate⟶ Binary trees
Images
=>
Cc0010;cc-rep-2Cc0010;cc-rep-3
[1]=>[1]=>[.,.]=>[.,.]
[1,2]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[2,1]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[1,3,2]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[2,1,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[2,3,1]=>[1,2,3]=>[.,[.,[.,.]]]=>[[.,[.,.]],.]
[3,1,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[[.,.],.],.]
[3,2,1]=>[1,3,2]=>[.,[[.,.],.]]=>[[[.,.],.],.]
[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[1,2,4,3]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[1,3,2,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[1,3,4,2]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[1,4,2,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[1,4,3,2]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[2,1,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[2,1,4,3]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[2,3,1,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[2,3,4,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[.,[.,[.,.]]],.]
[2,4,1,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[2,4,3,1]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[.,[[.,.],.]],.]
[3,1,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[3,1,4,2]=>[1,3,4,2]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[3,2,1,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[3,2,4,1]=>[1,3,4,2]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[3,4,1,2]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[3,4,2,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[4,1,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[[[.,.],.],.],.]
[4,1,3,2]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[4,2,1,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[[[.,.],.],.],.]
[4,2,3,1]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[4,3,1,2]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[4,3,2,1]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[[.,[.,.]],.],.]
[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,2,3,5,4]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,2,4,3,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,2,4,5,3]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,2,5,3,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[1,2,5,4,3]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[1,3,2,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,3,2,5,4]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,3,4,2,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,3,4,5,2]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[1,3,5,2,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[1,3,5,4,2]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[1,4,2,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,4,2,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,2,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,5,2]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,4,5,2,3]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,4,5,3,2]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[1,5,2,3,4]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[.,[[[.,.],.],.]],.]
[1,5,2,4,3]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[1,5,3,2,4]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[.,[[[.,.],.],.]],.]
[1,5,3,4,2]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[1,5,4,2,3]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[1,5,4,3,2]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[2,1,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,1,3,5,4]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,1,4,3,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,1,4,5,3]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,1,5,3,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[2,1,5,4,3]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[2,3,1,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,3,1,5,4]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,3,4,1,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,3,4,5,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[.,[.,[.,[.,.]]]],.]
[2,3,5,1,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[2,3,5,4,1]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[.,[.,[[.,.],.]]],.]
[2,4,1,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,1,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,3,1,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,3,5,1]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,5,1,3]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,4,5,3,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[.,[[.,.],[.,.]]],.]
[2,5,1,3,4]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[.,[[[.,.],.],.]],.]
[2,5,1,4,3]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[2,5,3,1,4]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[.,[[[.,.],.],.]],.]
[2,5,3,4,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[2,5,4,1,3]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[2,5,4,3,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[.,[[.,[.,.]],.]],.]
[3,1,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,1,2,5,4]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,1,4,2,5]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,1,4,5,2]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,1,5,2,4]=>[1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,1,5,4,2]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,2,1,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,2,1,5,4]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,2,4,1,5]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,2,4,5,1]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,2,5,1,4]=>[1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,2,5,4,1]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,4,1,2,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,4,1,5,2]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,4,2,1,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,4,2,5,1]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,4,5,1,2]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,4,5,2,1]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,5,1,2,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,5,1,4,2]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,5,2,1,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,5,2,4,1]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,.],[[.,.],.]],.]
[3,5,4,1,2]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[3,5,4,2,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[.,.],[.,[.,.]]],.]
[4,1,2,3,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,1,2,5,3]=>[1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,1,3,2,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,1,3,5,2]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,1,5,2,3]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,1,5,3,2]=>[1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,2,1,3,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,2,1,5,3]=>[1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,2,3,1,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,2,3,5,1]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,2,5,1,3]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,2,5,3,1]=>[1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,3,1,2,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,3,1,5,2]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,3,2,1,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,3,2,5,1]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,3,5,1,2]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,3,5,2,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,5,1,2,3]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,5,1,3,2]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,5,2,1,3]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,5,2,3,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>[[[[.,.],.],[.,.]],.]
[4,5,3,1,2]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[4,5,3,2,1]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[[.,[.,.]],[.,.]],.]
[5,1,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>[[[[[.,.],.],.],.],.]
[5,1,2,4,3]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,1,3,2,4]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>[[[[.,[.,.]],.],.],.]
[5,1,3,4,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,1,4,2,3]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,1,4,3,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,2,1,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>[[[[[.,.],.],.],.],.]
[5,2,1,4,3]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,2,3,1,4]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>[[[[.,[.,.]],.],.],.]
[5,2,3,4,1]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,2,4,1,3]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,2,4,3,1]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,3,1,2,4]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>[[[[.,[.,.]],.],.],.]
[5,3,1,4,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,3,2,1,4]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>[[[[.,[.,.]],.],.],.]
[5,3,2,4,1]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,3,4,1,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,3,4,2,1]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[[.,[.,[.,.]]],.],.]
[5,4,1,2,3]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,4,1,3,2]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[5,4,2,1,3]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>[[[[.,.],[.,.]],.],.]
[5,4,2,3,1]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[5,4,3,1,2]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[5,4,3,2,1]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[[.,[[.,.],.]],.],.]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[.,[.,[.,[.,[.,.]]]]],.]
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[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
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[4,3,2,7,1,6,5]=>[1,4,7,5,2,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,2,7,5,1,6]=>[1,4,7,6,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,2,7,5,6,1]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,2,7,6,1,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,5,1,2,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,1,2,7,6]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,1,6,2,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,1,6,7,2]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
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[4,3,5,2,1,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,2,1,7,6]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,2,6,1,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,2,6,7,1]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
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[4,3,6,2,5,7,1]=>[1,4,2,3,6,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
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[4,3,6,5,1,7,2]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
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[4,3,6,5,2,7,1]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
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[4,3,7,1,6,5,2]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
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[6,2,1,5,3,7,4]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,2,1,5,7,4,3]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,7,3,4,5]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,7,3,5,4]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,2,1,7,5,4,3]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,2,3,1,5,4,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,1,5,7,4]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,1,7,4,5]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,3,4,5,7,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
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[6,2,3,5,1,4,7]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,5,1,7,4]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,3,5,7,4,1]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,7,1,4,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,3,7,5,4,1]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,4,1,3,7,5]=>[1,6,7,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,2,4,1,7,5,3]=>[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,2,4,7,3,5,1]=>[1,6,5,3,4,7,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,2,5,1,3,4,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,5,1,3,7,4]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,5,1,7,4,3]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,5,3,1,4,7]=>[1,6,4,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,5,3,1,7,4]=>[1,6,7,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,2,5,3,7,4,1]=>[1,6,4,3,5,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,2,5,7,1,4,3]=>[1,6,4,7,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,2,5,7,3,4,1]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,7,1,3,4,5]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,7,1,5,4,3]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,2,7,5,1,4,3]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,1,5,2,4,7]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,5,2,7,4]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,5,4,2,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,5,4,7,2]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,5,7,2,4]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,5,7,4,2]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,7,2,4,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,7,2,5,4]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,1,7,4,2,5]=>[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,7,4,5,2]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,1,7,5,2,4]=>[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,7,5,4,2]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,4,5,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,2,1,4,7,5]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,2,1,5,4,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,5,7,4]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,7,4,5]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,7,5,4]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,2,4,1,5,7]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,4,1,7,5]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,4,5,1,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,4,5,7,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,4,7,1,5]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,4,7,5,1]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,5,1,4,7]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,5,1,7,4]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,5,4,1,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,5,4,7,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,5,7,1,4]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,5,7,4,1]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,7,1,4,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,2,7,5,4,1]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,4,1,2,7,5]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,1,5,2,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,1,5,7,2]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
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[6,3,4,1,7,5,2]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,2,1,5,7]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,2,1,7,5]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
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[6,3,4,2,5,7,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,2,7,1,5]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,2,7,5,1]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,5,1,2,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,1,7,2]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
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[6,3,4,5,2,7,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,7,1,2]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,7,2,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
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[6,3,4,7,1,5,2]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
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[6,3,4,7,2,5,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
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[6,3,5,1,2,4,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,1,2,7,4]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,5,1,4,7,2]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
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[6,3,5,1,7,4,2]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,2,1,4,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,2,1,7,4]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,5,2,7,4,1]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,5,4,1,7,2]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
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[6,3,5,4,7,2,1]=>[1,6,2,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
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[6,3,5,7,1,4,2]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,5,7,2,4,1]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,7,1,2,4,5]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,7,1,4,5,2]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
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[6,3,7,1,5,4,2]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,7,2,1,4,5]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,7,2,4,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
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[6,3,7,2,5,4,1]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,7,4,5,1,2]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
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[6,3,7,5,1,4,2]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,3,7,5,2,4,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,4,1,2,3,5,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,4,1,2,7,5,3]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,4,1,3,5,7,2]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,3,7,2,5]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,1,5,2,7,3]=>[1,6,7,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,1,5,3,2,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,5,3,7,2]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,5,7,2,3]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,1,7,2,5,3]=>[1,6,5,2,4,7,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,1,7,3,2,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,7,3,5,2]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,1,7,5,2,3]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,2,1,3,5,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,2,1,3,7,5]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,4,2,1,7,5,3]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,4,2,3,5,1,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,3,5,7,1]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,3,7,1,5]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,2,5,1,7,3]=>[1,6,7,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,2,5,3,1,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,5,3,7,1]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,5,7,1,3]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,2,7,1,5,3]=>[1,6,5,2,4,7,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,2,7,3,1,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,7,3,5,1]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,2,7,5,1,3]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,3,1,2,7,5]=>[1,6,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,1,5,2,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,1,5,7,2]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,1,7,2,5]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,1,7,5,2]=>[1,6,5,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,2,1,5,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,2,1,7,5]=>[1,6,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,2,5,1,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,2,5,7,1]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,2,7,1,5]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,2,7,5,1]=>[1,6,5,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,5,1,2,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,1,7,2]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,2,1,7]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,2,7,1]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,7,1,2]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,7,2,1]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,7,1,2,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,3,7,2,1,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,3,7,5,1,2]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,7,5,2,1]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,5,1,3,2,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,3,7,2]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,7,2,3]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,7,3,2]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
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[6,4,5,2,3,1,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,2,3,7,1]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,2,7,1,3]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,5,3,1,2,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,1,7,2]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,2,1,7]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,2,7,1]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,7,1,2]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,7,2,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,7,1,2,3]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,5,7,2,1,3]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,5,7,3,1,2]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,7,3,2,1]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,1,3,5,2]=>[1,6,5,3,7,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,7,1,5,2,3]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,2,3,1,5]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,2,3,5,1]=>[1,6,5,3,7,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,7,2,5,1,3]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,3,1,2,5]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,3,2,1,5]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,3,5,1,2]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,3,5,2,1]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,5,1,2,3]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,5,2,1,3]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,4,7,5,3,1,2]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
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[6,5,1,2,3,4,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,1,2,3,7,4]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,5,1,2,7,4,3]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,5,1,3,2,7,4]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,5,1,3,4,7,2]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,1,3,7,2,4]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,1,3,7,4,2]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,4,2,3,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,4,2,7,3]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,4,3,2,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,4,3,7,2]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,4,7,2,3]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,4,7,3,2]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,7,2,3,4]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,7,2,4,3]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,7,3,2,4]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,7,3,4,2]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,1,7,4,2,3]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,1,7,4,3,2]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,3,4,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,1,3,7,4]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,1,4,3,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,4,7,3]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,7,3,4]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,7,4,3]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,3,1,4,7]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,3,1,7,4]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,3,4,1,7]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,3,4,7,1]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,3,7,1,4]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,3,7,4,1]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,4,1,3,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,4,1,7,3]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,4,3,1,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,4,3,7,1]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,4,7,1,3]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,4,7,3,1]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,7,1,3,4]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,7,1,4,3]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,7,3,1,4]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,7,3,4,1]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,7,4,1,3]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,7,4,3,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,3,1,2,4,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,1,2,7,4]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,1,4,2,7]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,1,4,7,2]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,1,7,2,4]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,1,7,4,2]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,2,1,4,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,2,1,7,4]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,2,4,1,7]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,2,4,7,1]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,2,7,1,4]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,2,7,4,1]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,4,1,2,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,1,7,2]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,2,1,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,2,7,1]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,7,1,2]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,7,2,1]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,7,1,2,4]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,7,1,4,2]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,7,2,1,4]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,7,2,4,1]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,7,4,1,2]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,7,4,2,1]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,4,1,2,3,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,1,2,7,3]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,1,3,2,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,1,3,7,2]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,1,7,2,3]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,1,7,3,2]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,2,1,3,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,2,1,7,3]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,2,3,1,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,2,3,7,1]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,2,7,1,3]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,2,7,3,1]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,3,1,2,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,1,7,2]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,2,1,7]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,2,7,1]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,7,1,2]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,7,2,1]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,1,2,3]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,1,3,2]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,7,2,1,3]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,2,3,1]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,7,3,1,2]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,3,2,1]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,1,2,3,4]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,7,1,2,4,3]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,1,3,2,4]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,1,3,4,2]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,1,4,2,3]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,1,4,3,2]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,2,1,3,4]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,7,2,1,4,3]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,2,3,1,4]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,2,3,4,1]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,2,4,1,3]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,2,4,3,1]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,3,1,2,4]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,3,1,4,2]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,7,3,2,1,4]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,3,2,4,1]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,7,3,4,1,2]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,3,4,2,1]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,4,1,2,3]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,4,1,3,2]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,4,2,1,3]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,4,2,3,1]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,4,3,1,2]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,4,3,2,1]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,1,2,3,4,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,1,2,3,5,4]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,7,1,2,4,3,5]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,1,2,4,5,3]=>[1,6,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,7,1,2,5,3,4]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,1,2,5,4,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,1,3,2,4,5]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,7,1,3,2,5,4]=>[1,6,5,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,7,1,3,4,2,5]=>[1,6,2,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,7,1,3,4,5,2]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,7,1,3,5,2,4]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,1,3,5,4,2]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,7,1,4,3,2,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,1,4,3,5,2]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,7,1,5,2,4,3]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,1,5,3,2,4]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,1,5,3,4,2]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,7,2,1,3,4,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,2,1,3,5,4]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,7,2,1,5,4,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,2,3,1,4,5]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,7,2,3,5,4,1]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,7,2,4,3,1,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,2,4,3,5,1]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,7,2,5,1,4,3]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,2,5,3,1,4]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,2,5,3,4,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[6,7,3,1,2,4,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,3,1,5,2,4]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,1,5,4,2]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,2,1,4,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,3,2,5,1,4]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,2,5,4,1]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,4,1,2,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[6,7,3,4,2,1,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[6,7,3,5,1,2,4]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,5,1,4,2]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,5,2,1,4]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,5,2,4,1]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,4,1,3,2,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,4,1,3,5,2]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,7,4,2,3,1,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,4,2,3,5,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[6,7,4,3,1,2,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[6,7,4,3,2,1,5]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
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[6,7,5,1,2,4,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,5,1,3,4,2]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,5,2,1,4,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[6,7,5,2,3,4,1]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[7,6,5,4,1,3,2]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,5,4,2,1,3]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,5,4,2,3,1]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,5,4,3,1,2]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,5,4,3,2,1]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[5,6,7,8,3,4,1,2]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,2,1,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,1,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,3,1,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,4,2,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,2,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,1,2,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[5,7,4,3,1,8,2,6]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,5,4,7,6,2,3,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,5,4,7,6,1,8,3]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
Map
right rotate
Description
Return the result of right rotation applied to a binary tree.
Right rotation on binary trees is defined as follows: Let $T$ be a binary tree such that the left child of the root of $T$ is a node. Let $C$ be the right child of the root of $T$, and let $A$ and $B$ be the left and right children of the left child of the root of $T$. (Keep in mind that nodes of trees are identified with the subtrees consisting of their descendants.) Then, the right rotation of $T$ is the binary tree in which the left child of the root is $A$, whereas the right child of the root is a node whose left and right children are $B$ and $C$.
Right rotation on binary trees is defined as follows: Let $T$ be a binary tree such that the left child of the root of $T$ is a node. Let $C$ be the right child of the root of $T$, and let $A$ and $B$ be the left and right children of the left child of the root of $T$. (Keep in mind that nodes of trees are identified with the subtrees consisting of their descendants.) Then, the right rotation of $T$ is the binary tree in which the left child of the root is $A$, whereas the right child of the root is a node whose left and right children are $B$ and $C$.
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